Reliability-based design optimization for elastoplastic mechanical structures |
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Authors: | Irfan Kaymaz Kurt Marti |
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Affiliation: | a Atatürk University, Department of Mechanical Engineering, 25240 Erzurum, Turkey b Federal Armed Forces University Munich, Aero-Space Engineering and Technology, 85577 Neubiberg/Munich, Germany |
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Abstract: | In this paper, two special formulations to carry out a reliability-based design optimization of elastoplastic mechanical structures are introduced. The first approach is based on a well-known two-level method where the first level involves the optimization for the design parameters whereas the evaluation of the probabilistic constraints is carried out in a sub-optimization level. Because the evaluation of the probabilistic constraints in a sub-optimization level causes non-convergence behavior for some problems as indicated in the literature, an alternative formulation based on one-level is developed considering the optimality conditions of the β-computation by which the probabilistic constraint appears in the first level reliability-based design optimization formulation. In both approaches, an explicit parameter optimization problem is proposed for the computation of a design point for elastoplastic structures.Three examples in this paper demonstrate that the one-level reliability-based design optimization formulation is superior in terms of convergence to an optimal design than the two-level reliability-based design optimization formulation. |
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Keywords: | Reliability-based design optimization Reliability analysis Elastoplastic mechanical structures Direct computation of the β-point |
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